LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 623/70, 751/271

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 623/70, 751/271 i.e 1/18970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 623/70, 751/271.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 623/70,751/271?

Given fractions are 623/70,751/271

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 623/70,751/271, numerators are 623,751

Denominators are 70,271

The GCF of 623,751 is 1 .

LCM of 70,271 is 18970.

The greatest common factor of 623/70,751/271 = [GCF of 623,751]/[LCM of 70,271]= 1/18970

Therefore, the GCF of 623/70,751/271 is 1/18970.

Greatest Common Factor of 623,751

To find the highest common factor of 623,751, we have to find the factors of both numbers and list the highest common factor.

The factors of 623 are 1, 7, 89, 623

The factors of 751 are 1, 751

The HCF of 623,751 is 1.

Lets's calculate GCF of 623,751

Greatest Common Factor (GCF) of 623,751 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 623,751 By Matching Biggest Common Factor Method

Greatest Common Factor of 623,751 By Matching Biggest Common Factor Method

Now, list down the factors of 623

:

1,7,89,623

Now, list down the factors of 751

:

1,751

Greatest Common Factor

We found the factors 623,751 . The biggest common factor number is the GCF number.
So the greatest common factor 623,751 is 1.

Lets's calculate LCM of 70,271

Lowest Common Multiple of 70,271 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 18970

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18970

Therefore, the GCF of Fractions 623/70,751/271 is 1/18970

Least Common Multiple of 70,271 with GCF Formula

Least Common Multiple of 70,271 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 70,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,271) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(70,271) x common factors =1 x 1 = 1

LCM(70,271) = ( 70 × 271 ) / 1

LCM(70,271) = 18970 / 1

LCM(70,271) = 18970


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 623/70, 751/271

1. What is the HCF of 623,751?

The HCF of 623,751 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 623/70, 751/271?

Answer: GCF of Numerators as per given numbers 623/70, 751/271 is

GCF of Numerators i.e. for 623,751 is 1

LCM of denominators i.e. for 70,271 is 18970.

Thus, GCF of Fractions is 1/18970.Finally, GCF of Fractions for 623/70, 751/271 is 1/18970.